K13n1930

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Polynomial invariants

Jones polynomial Data:K13n1930/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+t^2+4 t-7+4 t^{-1} + t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1930/Conway Polynomial
Determinant 11
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} -z^4 a^{-6} +z^4-6 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +3 z^2-2 a^{-2} + a^{-4} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +3 z^9 a^{-3} +2 z^9 a^{-5} +z^9 a^{-7} -4 z^8 a^{-2} -6 z^8 a^{-4} +2 z^8 a^{-6} +3 z^8 a^{-8} +z^8-12 z^7 a^{-1} -21 z^7 a^{-3} -15 z^7 a^{-5} -3 z^7 a^{-7} +3 z^7 a^{-9} -4 z^6 a^{-2} +4 z^6 a^{-4} -11 z^6 a^{-6} -12 z^6 a^{-8} +z^6 a^{-10} -6 z^6+20 z^5 a^{-1} +39 z^5 a^{-3} +30 z^5 a^{-5} -11 z^5 a^{-9} +20 z^4 a^{-2} +9 z^4 a^{-4} +13 z^4 a^{-6} +10 z^4 a^{-8} -3 z^4 a^{-10} +11 z^4-11 z^3 a^{-1} -24 z^3 a^{-3} -22 z^3 a^{-5} -2 z^3 a^{-7} +7 z^3 a^{-9} -14 z^2 a^{-2} -7 z^2 a^{-4} -4 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} -8 z^2+2 z a^{-1} +5 z a^{-3} +5 z a^{-5} +2 z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math]



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